Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it take them to fold 8 baskets of clothes if they are working together?

Answers

Answer 1

Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
(8 baskets)/(1/9 baskets/minute) = 72 minutes

Answer 2

Working together, they fold (8) baskets in (72) minutes, averaging

[tex]$\frac{1}{9}$[/tex] of a basket per minute combined.

First, let's find out how many baskets of clothes each person can fold per minute.

Michelle can fold [tex]$ \frac{4}{54} $[/tex] baskets per minute, and Ruby can fold [tex]$ \frac{4}{108} $[/tex] baskets per minute.

Let's simplify these fractions:

Michelle's rate: [tex]$ \frac{4}{54} = \frac{2}{27} $[/tex] baskets per minute.

Ruby's rate[tex]: $ \frac{4}{108} = \frac{1}{27} $[/tex] baskets per minute.

Now, when they work together, their combined rate will be the sum of their individual rates:

Combined rate = Michelle's rate + Ruby's rate

Combined rate = [tex]$ \frac{2}{27} + \frac{1}{27} $[/tex] baskets per minute

Combined rate = [tex]$ \frac{3}{27} $[/tex] baskets per minute

Combined rate = [tex]$ \frac{1}{9} $[/tex] baskets per minute

Now, to find out how long it will take them to fold 8 baskets together, we can use the combined rate:

Let ( t) be the time it takes for them to fold 8 baskets together.

[tex]$ \frac{1}{9} $ baskets per minute * $ t $ minutes = 8 baskets\[ t = \frac{8}{\frac{1}{9}} \]\[ t = 8 \times 9 \]\[ t = 72 \] minutes[/tex]

So, it will take them 72 minutes to fold 8 baskets of clothes together.

Related Questions

HELP ASAP
What are the coordinates of the vertices of the triangle after a dilation by a scale factor of
1
4
, centered at the origin?

U → U'
V → V'
W → W'

Answers

Answer:
U' = (-1,2)
V' = (2,2)
W' = (0,-2)

Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.

For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)

For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)

For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)

Hope this helps :)

The coordinates of a triangle's vertices after a dilation by a scale factor of 1/4, centered at the origin, are found by multiplying each of the original vertex coordinates by 1/4.

The coordinates of the vertices of the triangle after a dilation by a scale factor of 1/4, centered at the origin, can be found by multiplying the original coordinates of each vertex by 1/4. If the original coordinates are (x, y), then the coordinates after the dilation will be (x/4, y/4).

This applies to all vertices of the triangle, so the transformed triangle, denoted by U', V', and W', will have vertices with coordinates calculated by taking the original vertex coordinates of U, V, and W and scaling them down by a factor of 1/4.

A girl scout sells 3 boxes of cookies during week 1. She has a goal to sell twice as many cookies each week as she did the week before. If she succeeds in doing this during weeks 2, 3, 4, and 5, how many boxes will she sell all together? a0

Answers

Week Two: 6 Boxes
Week Three: 12 Boxes
Week Four: 24 Boxes
Week Five: 48 Boxes

Final Answer: 96 Boxes
(Add them all together)

If she wants to double the number of cookies she sells, then you just multiply by 2.

Week 1: 3 cookies
Week 2: 6 cookies
Week 3: 12 cookies
Week 4: 24 cookies
Week 5: 48 cookies

3+6+12+24+48 = 93.

All together, she sold 93 cookies.

Hope this helped! :)

A certain arithmetic sequence has the recursive formula an = an-1 + d. If the common difference between the terms of the sequence is -13, what term follows the term that has the value 13?

Answers

In an Arithmetic sequence, each term is obtained by adding the common difference in the previous term as shown in the recursive formula.

The common difference of the sequence is -13. This means, if we -13 to a term we'll obtain the next term.

If a term is 13, the term that will be next to 13 can be obtained by adding -13 to it.

So,

13 + ( -13) = 13 - 13 = 0

Thus, the next term will be 0.

Will give brainliest-H(t)=-16t^2+28t
T is time in seconds.
How long will it take for the dolphin to make one jump, show your work.

Answers

For this case we have the following equation:
H (t) = - 16t ^ 2 + 28t
When the dolphin finishes a jump, then the height is equal to zero.
We have then:
-16t ^ 2 + 28t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 1.75 s
Therefore, the dolphin takes 1.75 seconds to make a jump.
Answer:
it will take for the dolphin to make one jump about:
t = 1.75 s

Sally goes out to lunch and has the option of a soup or a salad and then a turkey, ham, or club sandwich. Which tree diagram correctly shows all of her choices?

Answers

the answer should be B

The answer is B.
Hope this helps!

Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80?

A.50%
B.75%
C.100%
D.25%

Answers

**The missing graph is attached with the answer**
Ans: Option (D) 25%

Explanation:
In this case you need to find the area under the curve, which would essentially be the probability of a value in the sample space.

Now the range given is from 60 to 80; it contains the mini-triangle.

The area of the triangle = (1/2)*base*height

Since base = 80 - 60 = 20
Height = 0.025 - 0 = 0.025 (see in the graph)

Therefore
The area of the triangle = 1/4 = 0.25 which is essentially be the probability.

In percentage form, it is 25% (Option D)

Answer:

75%

Step-by-step explanation:

Simplify: (3 + 4i) + (2 - 3i) - (5 - 6i)

Answers

(3 + 2 - 5) and (4i - 3i + 6i)
= 0 + 7i

The answer is: " 7 i " .
________________________________________________________
Explanation:
________________________________________________________
(3 + 4i) + (2 - 3i) - (5 - 6i) =

(3 + 4i) + 1(2 - 3i) - 1(5 - 6i) ; ← Note that the coefficient, "1" is implied;
since any value, multiplied by "1" , results in that same value.
_____________________________________________________________
Note the "distributive property" of multiplication:
_____________________________________________________________
a(b + c) = ab + ac ;

a(b – c) = ab – ac .
_____________________________________________________________
We have:

(3 + 4i) + 1(2 - 3i) - 1(5 - 6i) ;

Start with:

" + 1(2 - 3i) " = (1*2) - (1*3i) = 2 - 3i ;

Then, we examine:

" - 1(5 - 6i) " = (-1*5) + (-1 * -6i) = -5 + (+6i) = -5 + 6i ;
______________________________________________________________
And we rewrite the entire expression:
______________________________________________________________
3 + 4i + 2 - 3i - 5 + 6i ;

Combine the "like terms" ; as follows:

3 + 2 - 5 = 5 - 5 = 0 ;

4i - 3i + 6i = 1 i + 6i = 7 i ;

0 + 7i = 7i .
_______________________________________________________
The answer is: " 7 i " .
_______________________________________________________

Tim bought 5 pencils for .25 cents each. he also bought 2 packs of paper for $1.25 each. he paid with a $10.00 bill. how much change could tim receive

Answers

Tim should receive $6.25.

.25 • 5 = 1.25

1.25 • 2 = 2.50

2.50 + 1.25 = 3.75

10 - 3.75 = 6.25

The perimeter of a parallelogram is 30 ft and its length is 5 ft. What is the length of the other side?

Answers

given p = 30

l = 5

therefore p= 2 (a +b)

30 = 2 (5)+2b

2b=30-2 (5)=20

2b = 20

b=20/2=10

° ° the otherside is equal to 10 ft
°

A parallelogram has two equal sides.

Let the length be L

The width is W

P = L + L + W + W

P = 2L + 2W

P = 2*(L + W)

P = 30, L = 5

P = 2*(L + W)

30 = 2*(5 + W)

30/2 = (5 + W)

15 = 5 + W

5 + W = 15

W = 15 - 5

W = 10

The length of the other side is 10 feet.

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volume of the large cube?

Answers

Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6[tex] a^{2} [/tex]=72, a=[tex] 2\sqrt{3} [/tex] and 6[tex] b^{2}=98, b=[tex] \frac{7}{sqrt{3}} [/tex]. The volume of the smaller cube is [tex] 2 sqrt{3} ^{3} [/tex] = [tex] 24 sqrt{3} [/tex]. The volume of the bigger cube is [tex] \frac{7}{sqrt{3}}^{3} [/tex] = [tex] \frac{343}{3sqrt{3}}{[/tex]. We have to find [tex] \frac{24 sqrt{3}}{frac{343}{3sqrt{3}} [/tex] = 216/343

Answer:

Ratio of the volumes of the cubes = 216 : 343

Step-by-step explanation:

Since surface area of a cube is represented as 6a² where a is the side of a cube.

Let a is one side of large cube and b is the side of smaller one.

Ratio of their surface area = [tex]\frac{6a^{2} }{6b^{2}}=\frac{72}{98}[/tex]

[tex](\frac{a}{b})^{2}=\frac{36}{49}[/tex]

[tex]\frac{a}{b}=\sqrt{\frac{36}{49}}[/tex]

[tex]\frac{a}{b}=\frac{6}{7}[/tex]

Now ratio of the volumes = [tex]\frac{a^{3} }{b^{3}}=(\frac{1}{b})^{3}[/tex]

Ratio = [tex](\frac{6}{7})^{3}=\frac{216}{343}[/tex]

Therefore, ratio of the volumes of the cubes = 216 : 343

With a quick explanation please

Answers

[tex]\dfrac{40}{5x-2}=\dfrac{55}{6x+6}\ \ \ |\text{cross multiply}\\\\40(6x+6)=55(5x-2)\\\\240x+240=275x-110\ \ \ |-240\\\\240x=275x-350\ \ \ \ |-275x\\\\-35x=-350\ \ \ \ \ |:(-35)\\\\\boxed{x=10}[/tex]

Look at the picture.

A group consists of five men and seven women. four people are selected to attend a conference.
a. in how many ways can four people be selected from this group of twelve?
b. in how many ways can four women be selected from the seven women?
c. find the probability that the selected group will consist of all women.0

Answers

a. That would be 12C4 = (12*11*10*9) / (4*3*2*1) = 495 ways

b. This is 7C4 = 7C3 = (7*6*5) / 6 = 35 ways

c. This would come to 7C4 / 12C4 = 35/495 = 7/99

Company A charges a $120 annual fee plus $7 per hour car share fee. Company B charges $100 plus $9 per hour. What is the minimum number of hours that a car share needs to be used per year to make company A a better deal?

Answers

Answer:

Step-by-step explanation:

Y=|x| vertically stretched by a factor of 5

Answers

jdbsjxbejdbdjsndjwjdnjwkebd

the weight of 1in ^3 of water is 0.036 pounds. A container contains
528.768 pounds of water. what is the volume of water in the container

Answers

density of water = 0.036 pounds/in^3

density = weight/volume

0.036 = 528,768 / volume

required volume = 528,768 / 0.036 = 14,688,000 in^3

The volume of the water in the container is calculated by dividing the total weight of water (528.768 pounds) by the weight of one cubic inch of water (0.036 pounds), resulting in 14688 cubic inches.

To find the volume of water in the container, we first consider the weight of 1 cubic inch of water, which is given as 0.036 pounds. We know that the container holds 528.768 pounds of water. To find the volume, we divide the total weight of water in the container by the weight of one cubic inch of water.
Volume = Total Weight / Weight per Unit Volume

Volume = 528.768 pounds / 0.036 pounds/in³

Volume = 14688 cubic inches

If you need the volume in other units, such as gallons, you must convert cubic inches to gallons using the appropriate conversion factor.

Range for the equation 2y=8-4x if the domain is (-2,-1,0,2,5)

Answers

[tex]2y=8-4x\ \ \ |divide\ both\ sides\ by\ 2\\\\y=4-2x[/tex]
Put numbers from {-2; -1; 0; 2; 5} to the equation instead of x:
[tex]x=-2\to y=4-2\cdot(-2)=4+4=8\\\\x=-1\to y=4-2\cdot(-1)=4+2=6\\\\x=0\to y=4-2\cdot0=4\\\\x=1\to y=4-2\cdot1=4-2=2\\\\x=2\to y=4-2\cdot2=4-4=0[/tex]
We have the range: {0; 2; 4; 6; 8}.

please help type the integer that represents the correct answer the absolute value of 7

Answers

The answer is: " 7 " .
________________________________________________________

The angle of depression from point R to point S is angle .

Answers

the angle of depression means it's going down starting at R and going down to Point S so it really depends on the question at hand

Final answer:

The question involves high school level mathematics, specifically geometry and trigonometry, discussing the angle of depression, cross-sectional area, angles, distances, and congruent triangles.

Explanation:

The question relates to the angle of depression and concepts of geometry involving angles and distances. In the context provided, the angle of depression from point R to S is being discussed, but not enough information is given to define the angle. The references to cross-sectional area, small-angle approximation, and congruent triangles touch on topics in geometry and trigonometry that are critical to understanding the properties of shapes, sizes, and angles in mathematical problems.

In the mathematical equations provided, 'S' is used as a variable representing a stress value, with reference to pressure units of N/m², and 'r' represents a radius which is then used to calculate an area. The references to a graph with a slope and 'y = mx + b' appear to relate to linear equations and representations in coordinate geometry.

The descriptions involving angle vector, position vector, arc length vector, and angle of distance between two points separated by an angle further contribute to the idea that this question falls under the Mathematics category, addressing high school level concepts in geometry and trigonometry.

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Answers

[tex]a_4=14\\d=-8\\\\a_n=a_1+(n-1)d\\\\a_n=14+(n-1)\cdot(-8)\\\\a_n=14-8n+8\\\\a_n=22-8n[/tex]

For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8

Answers

B. 9-5=4. That's it.

Which of the following describes the probability distribution below?
A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
B.) The mean is greater than the median, and the majority of the data points are to the right of the mean.
C.) The median is greater than the mean, and the majority of the data points are to the left of the mean.
D.) The median is greater than the mean, and the majority of the data points are to the right of the mean.

Answers

Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.

if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean

If we draw a normal distribution bell curve as shown in the attachment, we can see that the bell curve is skewed to the right . This means it has a right tail. This means few points are to the right of the mean. In other words, we can say that majority of the data points are to the left of the mean

Since the majority of the data points are to the left, the median will also be to the left of the mean which indicates median is lesser than mean . In other words, mean is greater than median

So, answer is: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

Three consecutive numbers that have a sum of 159. What are the numbers?

Answers

Let n = the first number. n + 1 = the second and n + 2 = the third number. So....

n + (n + 1) + (n + 2) = 159
3n + 3 = 159
3n = 156
n = 52

n + 1 = 53
n + 2 = 54

So the numbers are 52, 53, and 54.

The middle one is their average, 159/3 = 53.

The numbers are 52, 53, 54.

Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12

Answers

x = y - 3
2x + y = 12

substitute x = y - 3 into 2x + y = 12
2x + y = 12
2(y - 3 )+ y = 12
2y - 6 + y = 12
3y - 6 = 12
3y = 18
y = 6

substitute y = 6 into x = y - 3 to find x
x = y - 3
x = 6 - 3
x = 3

answer
x = 3 and y = 6

The art museum will hang 3 famous paintings in a row. How many different ways could the paintings be hung?

Answers

the answer should be 6

There are six different ways to hang three unique paintings.

The question on how many different ways the paintings could be hung pertains to a mathematical concept known as permutations. Since there are three paintings and each one must occupy a unique position in the row, we need to calculate the number of permutations of three items. In permutations, the order matters, so the sequence ABC is different from ACB even though they contain the same paintings.

To solve this, we use the formula for permutations without repetition, which is n! (n factorial), where n is the number of items to arrange. For three paintings, this gives us:

3! = 3 × 2 × 1 = 6 different ways

Therefore, there are six different ways to hang the three paintings.

Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.

Answers

let m be the slope and b the y-intercept.

m=(y₂-y₁)/(x₂-x₁)

m= (-1-4)/(-5-(-4))

m= 6

y=mx+b

4=6(-4)+b

b=28

y=6x+28

(-2,4)

parallel means the slopes are the same:

4=6(-2)+b

4=-12+b

b=16

y=6x+16

if the number of bacteria in a colony double every 330 minutes and there is currently a population of 1100 bacteria what will the population be 990 minutes from now

Answers

This can be done in a straightforward manner.

If it doubles every 330 minutes, it will increase by a factor of 4 after 990 minutes.

1,100 * 4 = 4,400

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?

Answers

For this we almost have the following equation:
[tex]h = -16t ^ 2 + 25 [/tex]
We must match the equation to zero:
[tex]-16t ^ 2 + 25 = 0 [/tex]
From here, we clear the value of t.
We have then:
[tex]16t ^ 2 = 25 t ^ 2 = 25/16[/tex]
We discard the negative root because we are looking for time:
[tex]t = \sqrt{ \frac{25}{16} } [/tex]
[tex]t = \frac{5}{4} [/tex]
Answer:
it will take him to reach the ground about:
[tex]t = \frac{5}{4} [/tex] seconds

A card is being drawn from a standard deck of playing cards. Find each probability.
1.P(Jack or ten)
2.P(red or black)
3.P(queen or club)
4.P(red or ace)
5.P(diamond or black)
6.P(face card or spade)

Answers

These are 6 questions and 6 answers.

To find each probability we will use the definition of probability:

Probability = number of positive outcomes / number of total possible outcomes

1) P(Jack or ten)

Answer: 2/13 ≈ 0.12

Justification:

i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.

ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes

iii) Probability, P

P = number of positive outcomes / number of total possible outcomes

P = 8 / 52 = 2/13 ≈ 0.15

2.P(red or black)

Answer: 1

Justification:

i) Positive outcomes

Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52

ii) Possible outcomes: 52 cards

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 52 / 52 = 1

3.P(queen or club)

Answer: 4/13 ≈ 0.31

Justification:

i) Positive outcomes

There are 4 Queens.

There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.

But you cannot add all of them, because one club is the Quenn of Clubs.

Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16

ii) Possible outcomes: 52 different cards

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 16 /52 = 4 / 13 ≈ 0.31

4.P(red or ace)

Answer: 7 / 13 ≈ 0.54

Justification:

i) Positive outcomes

Half of the cards are red: 26

There are 4 aces.

Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28

ii) Possible outcomes: 52 different outcomes

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 28 / 52 = 7 / 13 ≈ 0.54

5.P(diamond or black)

Answer: 1/2 = 0.5

Justification:

i) Positive outcomes

There are 52 / 4 = 13 diamonds

There are 26 black cards.

All the diamonds are black cards.

Then, the number of different diamond or black cards is 13 + 26 - 13 = 26

ii) Possible outcomes: 52 different cards.

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 26 / 52 = 1/2 = 0.5

6.P(face card or spade)

Answer: 11/26 ≈ 0.42

Justification:

i) Positive outcomes

Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.

The spades are 13 cards.

Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22

ii) Possible outcomes: 52 different cards

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 22 / 52 = 11 / 26 ≈ 0.42

Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.
the pictures in order are
a
b
c
d
and the last picture is a figure if an awnser is missing please tell me if that one is the correct one

Answers

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, [tex]\triangle EFA[/tex] and [tex]\triangle KFD[/tex] are similar triangles.

Because, [tex]\angle FAE= \angle FDK[/tex] and [tex]\angle FEA= \angle FKD[/tex] (because EA and KD are parallels. And, [tex]\angle F[/tex] is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

Which expression is equivalent to .02m(n-5)-.02(m+10)

Answers

Removing parentheses.
Subtract 0.02m from -0.1m to get -0.12m

Answer is~
.02mn-0.12m-0.2

Answer:

thank you

Step-by-step explanation:

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